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Question

In the adjoining figure, ABCD is a parallelogram in which BAD=75 and CBD=60. Then, BDC= ?

(a) 60

(b) 75

(c) 45

(d) 50

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Solution

ANSWER:
(c) 45°
Explanation:
∠B = 180oA
⇒ ∠B = 180o75o=105o
Now, ∠B =​ ∠ABD + ∠CBD
⇒​​ 105o=ABD+60o
⇒ ∠ABD​ = 105o60o=45o
⇒ ∠ABD = ​∠ BDC​ = 45o
(Alternate angles)


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